A bivariate optimal imperfect preventive maintenance policy for a used system with two-type shocks

Authors:
Yen-Luan Chen
Affiliations:
Department of Marketing Management, Takming University of Science and Technology, 56 Huanshan Road, Section 1, Taipei 114, Taiwan
Venue:
Computers and Industrial Engineering
Year:
2012

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Abstract

This article studies an optimal imperfect preventive maintenance policy based on a cumulative damage model for a used system with initial variable damage. The used system is subject to shocks occurring to a non-homogeneous Poisson process, and suffers one of two types of shocks with stochastic probability: type-I shock (minor) yields a random amount of additive damage of the system, or type-II shock (catastrophic) causes the system to fail. A bivariate preventive maintenance schedule (n,T) is presented in which the system undergoes preventive maintenance at a planned time T and the nth type-I shock, or corrective maintenance at any type-II shock and the total damage exceeds a threshold level, whichever occurs first. The optimal preventive maintenance schedule which minimizes the expected cost rate is derived analytically and discussed numerically.